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Finding the Third Proportional to 181,262 and 388,777

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Solution

The third proportional to 181,262 and 388,777 is: 833,862.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,262 : 388,777 = 388,777 : x
  2. Step 2: Convert to fraction form
    181,262/388,777 = 388,777/x
  3. Step 3: Cross multiply
    181,262x = 388,777 × 388,777
  4. Step 4: Simplify right side
    181,262x = 151,147,555,729
  5. Step 5: Solve for x
    x = 151,147,555,729/181,262
  6. Step 6: Final answer
    x = 833,862.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.